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Finding the Fourth Proportional to 342,834.03, 514,582.74 and 165,465.90

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Solution

The fourth proportional to 342,834.03, 514,582.74 and 165,465.90 is: 248,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,834.03 : 514,582.74 = 165,465.90 : x
  2. Step 2: Convert to fraction form
    342,834.03/514,582.74 = 165,465.90/x
  3. Step 3: Cross multiply
    342,834.03x = 514,582.74 × 165,465.90
  4. Step 4: Simplify right side
    342,834.03x = 85,145,896,198.57
  5. Step 5: Solve for x
    x = 85,145,896,198.57/342,834.03
  6. Step 6: Final answer
    x = 248,358.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.